OFFSET
1,5
COMMENTS
A perfect magic cube is one such that each square extracted from it is magic. (The sum of columns, rows, diagonals of each face and diagonals of opposite vertices all sum up to the same constant).
REFERENCES
C. Boyer, "Le plus petit cube magique parfait", La Recherche pp. 48-50 March 2004 Paris.
N. Revoy, "Cube magique", Science et Vie, pp. 66-69 March 2004, Paris.
LINKS
C. Boyer, Perfect magic cubes
I. Peterson, Perfect Magic Cubes
Eric Weisstein, Mathworld Headline News, Perfect Magic Cube of Order 5 Discovered
Wikipedia, Perfect magic cube
FORMULA
a(n)=(n^4 + n)/2 for n=1 and n>=5.
a(n) = A027441(n) or 0. - R. J. Mathar, Feb 12 2008
EXAMPLE
a(5)=315 implies each of the 109 {=A056107(5+1)} lines crossing 5 cells of the side 5 perfect magic cube numbered 1 through 5^3 adds up to 315.
CROSSREFS
KEYWORD
nonn
AUTHOR
Lekraj Beedassy, Aug 17 2005; revised Aug 23 2005
EXTENSIONS
More terms from R. J. Mathar, Feb 12 2008
STATUS
approved